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Finding the Fourth Proportional to 2,904.66, 3,998.57 and 2,156.22

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Solution

The fourth proportional to 2,904.66, 3,998.57 and 2,156.22 is: 2,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.66 : 3,998.57 = 2,156.22 : x
  2. Step 2: Convert to fraction form
    2,904.66/3,998.57 = 2,156.22/x
  3. Step 3: Cross multiply
    2,904.66x = 3,998.57 × 2,156.22
  4. Step 4: Simplify right side
    2,904.66x = 8,621,785.82
  5. Step 5: Solve for x
    x = 8,621,785.82/2,904.66
  6. Step 6: Final answer
    x = 2,968.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.